## anonymous one year ago There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?

1. anonymous

@nnesha

2. Nnesha

when we multiply same bases we should add exponents $\huge\rm x^m \times x^n=x^{m+n}$

3. Nnesha

ohh forgot the exponent rule $\huge\rm (x^m)^n =x^{m \times n }$ first apply this

4. anonymous

@nnesha so the answer is 4^6?

5. Nnesha

yes right!

6. anonymous

@nnesha can you help with one more?

7. Nnesha

i'll try

8. anonymous

What is the value of 3 to the power 2 over 3 to the power 4?

9. Nnesha

and when we divide same base , subtract their exponents $\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$

10. anonymous

options are : 1/81, 1/27, 1/9, 1/3

11. Nnesha

for exxponents you should remember these exponent rules

12. anonymous

right that would be 3^-2 but that's not an option

13. Nnesha

yes now we should convert negative to positive exponent $\huge\rm x^{-m}=\frac{ 1 }{ x^m }$

14. Nnesha

flip the fraction ) when u flip it the sign of the exponent would change

15. anonymous

16. Nnesha

17. anonymous

none of the options have exponents

18. Nnesha

oh well at the end we will not have the exponent ethr $3^{-2} =???$

19. anonymous

im confused.. is the answer not 1/3/?

20. Nnesha

no

21. Nnesha

look at this exponent rule when i flipped the fraction i just changed the sign exponent would stay the same $\huge\rm x^{-m}=\frac{ 1 }{ x^m }$